birkhäuser basel birkhäuser basel aug 2001 (4 Ergebnisse)

Buch. Zustand: Neu. Neuware -It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite 'nearly' simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called 'internal geometric analysis' by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 408 pp. Englisch.

Buch. Zustand: Neu. Neuware -This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book 'Fractals and Spectra' (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.Birkhäuser Verlag GmbH, Im Westfeld 8, 4055 Basel 440 pp. Englisch.

Buch. Zustand: Neu. Neuware -The development of the mechanics of space flight brought to life a whole series of fascinating and novel problems. The purpose of this book is to present some interesting and often unexpected achievements that have allowed some classical problems to be reconsidered in a new light. In order to reveal the beauty of the research process leading to the results, the emphasis is put on the analysis that can be carried out on the level of graphs and drawings, and sometimes numbers. Whenever possible, the investigation relies on maximally intuitive, elegant geometric tools. The book can be read profitably by anyone with the mathematical background typically offered in the first few years of undergraduate studies in mathematics, physics and engineering, including students, teachers, scientists and engineers. From the review of the first edition in Priroda by V.I. Arnold and Ya.B. Zeldovich: '.For a solid scientific monograph, V.V. Beletsky¿s book is out of the ordinary in many respects. Without exaggeration we can say that it marks the affirmation of a new style in the scientific literature. The author explains in a frank and detailed manner the reasons behind each calculation, its difficulties, and the psychological side of research. .The general impression that the 'Essays' make is not that of a boring lesson, but rather a discussion with a brilliant, knowledgeable and wise interlocutor.'Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 396 pp. Englisch.

Buch. Zustand: Neu. Neuware -Especially the past two decades have seen renewed interest in thevasculitides. In this volume an international expert group presents thecurrent state of knowledge and concentrates on principles of immunemodulating therapy. Drawing from their work in rheumatology, nephrologyinternal medicine, connective tissue disease and clinical immunologythey present new concepts in classificiation, diagnosis andpathophysiology of the vasculitides. Evidence from experimental andclinical trials is reviewed, as well as the outlook for furtherresearch. 220 pp. Englisch.